The quantum one loop trace anomaly of the higher spin conformal conserved currents in the bulk of $Ad{S}_4$

Abstract

An analysis of the structure and singularities of the one loop two point function of the higher spin traceless and conserved currents constructed from the single scalar field in $AdS$ space is presented. The detailed renormalization procedure is constructed and the quantum violation of the traceless Ward identity is investigated. The connection with the one loop effective action for higher spin gauge fields is discussed.

23 pages, Latex, misprints corrected, v.3 two sections added, v.4 published version in Nucl. Phys. B

References in corpus (4)

• The masses of gauge fields in higher spin field theory on AdS(4)
• The masses of gauge fields in higher spin field theory on the bulk of $Ad{S}_4$
• The off-shell behaviour of propagators and the Goldstone field in higher spin gauge theory on $Ad{S}_{d+1}$ space
• Coupling of Higher Spin Gauge Fields to a Scalar Field in $Ad{S}_{d+1}$ and their Holographic Images in the $d$-Dimensional Sigma Model

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• The structure of the trace anomaly of higher spin conformal currents in the bulk of $Ad{S}_4$
• Generalized Curvature and Ricci Tensors for a Higher Spin Potential and the Trace Anomaly in External Higher Spin Fields in AdS_{4} Space
• Covariant Graviton Propagator in Anti-de Sitter Spacetime
• Higher Spin Interacting Quantum Field Theory and Higher Order Conformal Invariant Lagrangians
• Geometrical structure of Weyl invariants for spin three gauge field in general gravitational background in $d=4$
• Boundary action of free AdS higher-spin gauge fields and the holographic correspondence
• Gauge invariant Lagrangian for non-Abelian tensor gauge fields of fourth rank
• On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
• Local Interactions of Higher-Spin Potentials That are Gauge Invariant in Linear Approximation
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